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%I #5 Mar 30 2012 18:57:57
%S 1,6,3,6,4,4,3,5,5,1,9,5,5,0,4,1,4,2,2,0,6,7,5,9,3,0,3,1,1,8,7,1,2,8,
%T 2,4,5,5,9,3,6,5,4,1,7,1,8,5,9,0,2,6,8,4,2,5,3,3,4,8,5,5,7,2,4,9,6,0,
%U 1,4,7,7,1,1,7,8,8,6,4,9,0,3,3,9,7,9,7,6,2,3,7,9,1,6,2,1,2,7,2
%N Decimal expansion of x<0 satisfying x^2+3*x*cos(x)=3.
%C See A199170 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: -1.6364435519550414220675930311871282455...
%e positive: 3.56968633396230393049792896687800143343...
%t a = 1; b = 3; c = 3;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -2 Pi, 2 Pi}, {AxesOrigin -> {0, 0}}]
%t Plot[{f[x], g[x]}, {x, 0, 2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -1.7, -1.6}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199186 *)
%t r = x /. FindRoot[f[x] == g[x], {x, 3.56, 3.57}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199187 *)
%Y Cf. A199170.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Nov 04 2011
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